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Finding the Fourth Proportional to 5,734.62, 7,914.89 and 3,344.87

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Solution

The fourth proportional to 5,734.62, 7,914.89 and 3,344.87 is: 4,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.62 : 7,914.89 = 3,344.87 : x
  2. Step 2: Convert to fraction form
    5,734.62/7,914.89 = 3,344.87/x
  3. Step 3: Cross multiply
    5,734.62x = 7,914.89 × 3,344.87
  4. Step 4: Simplify right side
    5,734.62x = 26,474,306.26
  5. Step 5: Solve for x
    x = 26,474,306.26/5,734.62
  6. Step 6: Final answer
    x = 4,616.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.